Search a number
-
+
12413329614 = 232798518489
BaseRepresentation
bin10111000111110010…
…00110000011001110
31012001002212110222200
423203321012003032
5200410303021424
65411432422330
7616420363230
oct134371060316
935032773880
1012413329614
1152a00012a4
1224a52479a6
13122a99236a
1485a892250
154c9bb88c9
hex2e3e460ce

12413329614 has 24 divisors (see below), whose sum is σ = 30737768880. Its totient is φ = 3546665568.

The previous prime is 12413329601. The next prime is 12413329619. The reversal of 12413329614 is 41692331421.

12413329614 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 3 + 32 + 9 + 614 = 666.

12413329614 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413329619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49259119 + ... + 49259370.

It is an arithmetic number, because the mean of its divisors is an integer number (1280740370).

Almost surely, 212413329614 is an apocalyptic number.

12413329614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12413329614 is an abundant number, since it is smaller than the sum of its proper divisors (18324439266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12413329614 is a wasteful number, since it uses less digits than its factorization.

12413329614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98518504 (or 98518501 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 12413329614 in words is "twelve billion, four hundred thirteen million, three hundred twenty-nine thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 98518489 197036978 295555467 591110934 689629423 886666401 1379258846 1773332802 2068888269 4137776538 6206664807 12413329614